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Simplifying 7 + 10p + -3 = 8p + 44 + -6p Reorder the terms: 7 + -3 + 10p = 8p + 44 + -6p Combine like terms: 7 + -3 = 4 4 + 10p = 8p + 44 + -6p Reorder the terms: 4 + 10p = 44 + 8p + -6p Combine like terms: 8p + -6p = 2p 4 + 10p = 44 + 2p Solving 4 + 10p = 44 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + 10p + -2p = 44 + 2p + -2p Combine like terms: 10p + -2p = 8p 4 + 8p = 44 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 8p = 44 + 0 4 + 8p = 44 Add '-4' to each side of the equation. 4 + -4 + 8p = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 8p = 44 + -4 8p = 44 + -4 Combine like terms: 44 + -4 = 40 8p = 40 Divide each side by '8'. p = 5 Simplifying p = 5
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